Читать книгу Linear Algebra - Richard C. Penney - Страница 4

1 Chapter 1FIGURE 1.1 Coordinates in .FIGURE 1.2 Vector Algebra.FIGURE 1.3 Example 1.1.FIGURE 1.4 Coordinates in .FIGURE 1.5 Dependence in .FIGURE 1.6 Three vectors in .FIGURE 1.7 Route map.FIGURE 1.8 Dominance in an extended family.FIGURE 1.9 Exercise 1.1.FIGURE 1.10 Exercise 1.43.FIGURE 1.11 Only one solution.FIGURE 1.12 Two planes.FIGURE 1.13 Solution set is a line.FIGURE 1.14 Three planes intersecting in a line.FIGURE 1.15 No solution.FIGURE 1.16 Pressure drop.FIGURE 1.17 Voltage drop.FIGURE 1.18 Example 1.7.FIGURE 1.19 Hypothetical FlowsFIGURE 1.20 Exercise 1.51.aFIGURE 1.21 Exercises 1.51.b and 1.51.c.FIGURE 1.22 Exercise 1.52.FIGURE 1.23 Exercise 1.53.FIGURE 1.24 Two traffic patterns.FIGURE 1.25 Exercise 1.79.FIGURE 1.26 The column space.FIGURE 1.27 Spaces in .FIGURE 1.28 Spaces in .FIGURE 1.29 The translation theorem.

2 Chapter 2Figure 2.1 Co‐planar and non‐co‐planar vectors.Figure 2.2 The standard basis in .Figure 2.3 Exercise 64.

3 Chapter 3FIGURE 3.1 Rotating a triangle.FIGURE 3.2 A shear.FIGURE 3.3 Exercise 3.3.FIGURE 3.4 Exercise 3.4.FIGURE 3.5 Exercise 3.5.FIGURE 3.6 A rotated ellipse.FIGURE 3.7 A composite transformation.FIGURE 3.8 Composite transformations.FIGURE 3.9 My car picture.FIGURE 3.10 Two‐step connections.FIGURE 3.11 Links between web pages.FIGURE 3.12 Triangle.FIGURE 3.13 Natural and skewed coordinates in .FIGURE 3.14 Example 3.15.FIGURE 3.15 The coordinate is doubled.FIGURE 3.16 An ellipse?FIGURE 3.17 A hyperbola.

4 Chapter 4FIGURE 4.1 The area of a parallelogram.FIGURE 4.2 Proof of Proposition 4.2.FIGURE 4.3 Volume of a parallelepiped.

5 Chapter 5Figure 5.1 Addition of complex numbers.Figure 5.2 Polar form.Figure 5.3 Example 5.9.

6 Chapter 6Figure 6.1 Distance in .Figure 6.2 Three orthogonal vectors.Figure 6.3 Projections to line and planes.Figure 6.4 Orthogonal complement.Figure 6.5 The Grahm–Schmidt process.Figure 6.6 A rasp.Figure 6.7 A “pure” tone.Figure 6.8 Four‐tone approximation.Figure 6.9 Ten‐tone approximation.Figure 6.10 “Close” functions.Figure 6.11 Exercises 6.38 and 6.39.Figure 6.12 Exercises 6.41 and 6.42.Figure 6.13 Rotation and reflection.Figure 6.14 A three‐dimensional rotation.Figure 6.15 Orthogonal matrices in .Figure 6.16 Reflection in .Figure 6.17 Formula for Reflections.Figure 6.18 Rotation in a plane.Figure 6.19 Fitting a straight line.Figure 6.20 Example 6.16.Figure 6.21 A hyperboloid

7 2Figure 1.1 1.60.a Assumed flows.Figure 3.2 Exercise 3.1.Figure 3.3 Exercise 3.7(b).